Consider a particle lies in the ground state of 1D box in the region from z = -2L to z = +2L. Find the energy eigen value of the particle for the wavefunction (z) = Acos()- Here, A is normalization constant. Select the correct option: (a) E= 32mL² (b) E = (c) E = (d) E= 16m12 8mL² ²² 64m12
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- Show the relation LxL = iħL for the quantum mechanical angular momentum operator LAn electron is trapped in a square well potential of infinite depth with width L. If the electron is in the ground state, which of the following values is closest to the probability of finding the electron between x = 0 and x = L/3? (A)35% (B)25% (C)20% (D)15% (E)10%Particle of mass m moves in a three-dimensional box with edge lengths L1, L2, and L3. (a) Find the energies of the six lowest states if L1 =L, L2 = 2L, and L3 = 2L. (b) Which if these energies are degenerate?
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